1. EOM6 ASSESSMENT: THE DATA PROJECT Wake Forest

2. OVERVIEW  Students will create a statistics project as their End of Module 6 Assessment by collecting data, analyzing, displaying, summarizing, and comparing it to similar data summaries.  Students will be working independently to showcase their knowledge of Data and Statistics.  The project is due MONDAY May 9 by 7:50am.  It is worth 50 Mastery points.

3. DAY 1: OBJECTIVES  SWBAT determine if a question is statistical or not and explain why or why not.  SWBAT write two statistical questions, one survey-based and one research-based, that will be the basis of the EoM6 Assessment.

4. DAY 1: NEED TO KNOW  What is a statistical question?  A statistical question is one that can be answered by DATA  The data (collected info) varies.  Are the following stat questions? Why or why not?  What was the mean number of hours of TV watched by 6 th graders last night?  What is the school principal’s favorite TV show?  Do most students at your school tend to watch at least an hour of TV on the weekend?  What is the recommended amount of TV specified by the American Pediatric Association?

5. DAY 1: NEED TO KNOW  What are the steps of statistical investigation?  Step 1: Pose a question that can be answered by data.  Step 2: Collect appropriate data.  Step 3: Summarize data with graphs and numerical summaries.  Step 4: Answer the question posed in Step 1 using numerical summaries and graphs.

6. DAY 1: BY THE END OF THE DAY… You should have:  2 statistical questions – 1 SURVEY, 1 RESEARCH  At least 25 pieces of collected data for each question

7. DAY 1: SURVEY QUESTION A statistical question for which you gathered data by SURVEYING other students  Ex. What is the mean number of hours of TV watched by 6 th grade students?  Ex. What is the median number of siblings 6 th grade students have? For SURVEY questions, you must:  Get your question approved by Ms. Stanish.  collect and record at least 25 pieces of numerical data in a frequency chart.  Calculate the relative frequencies of the data.

8. DAY 1: RESEARCH QUESTION  Sports Data  Ex. What is the overall batting average for the Phillies?  Ex. What is the average distance Tom Brady can throw a football?  Science Data  Ex. What is the average weight of the American grizzly bear?  Ex. What is the speed of the fastest land animal?  Pop Culture Data  Ex. What is the average number of Number One hits of major boy bands over the course of their careers?  Ex. What is the average number of total Oscars won for films that won Best Picture?  Political Data  Ex. Do people who run for President typically hold political office for at least seven years first?  Ex. What is the longest term of service for a governor in the state of Massachusetts?

9. DAY 1 HOMEWORK  Complete Data Gathering

10. DAY 2: OBJECTIVES  SWBAT analyze data for two different statistical questions.  SWBAT display data in dot plots, histograms, and box plots.

11. DAY 2: NEED TO KNOW Dot plot  Method of displaying individual data using dots and a number line  Must have  Equal intervals (it’s a NUMBER LINE)  Label for the line, with units  Key  Description of the data distribution, including center, shape, spread, and variability.

12. DAY 2: NEED TO KNOW Histogram  Method of displaying data through interval grouping  Must have  Equal intervals  Labels, with units  Description of the data distribution, including center, shape, spread, and variability.

13. DAY 2: NEED TO KNOW Box Plot  Method of displaying data using quartiles  Must have  Equal intervals on the line  Labels, with units  5 number summary  Description of the data distribution, including center, shape, spread, and variability.

14. DAY 2: BY THE END OF THE DAY You should have:  Dot plot, box plot, and histogram for your SURVEY data  Dot plot, box plot, and histogram for your RESEARCH data

15. DAY 2: HOMEWORK  Complete Data Displays

16. DAY 3: OBJECTIVES  Determine the best visual representation of their data and justify their reasoning.  Summarize by describing shape, center, and variability through the use of mean, median, mode, range, MAD, IQR, and quartiles.

17. DAY 3: NEED TO KNOW How to Summarize Data  What is your graph describing (what is the data collected for?)  What is the shape of the distribution? What does it tell you about the data?  What is the variability of the data?  How do you know?  Use specific examples from your data (MAD, range, IQR)  What is the best measure of center, mean or median? Why?  What information did you see most often? What do you think that tells you about the data?  Which graph is the best representation of your data? Explain.

18. DAY 3: NEED TO KNOW EXAMPLE Summarize the following data.

19. DAY 3: NEED TO KNOW EXAMPLE Summary:  Mean = 36  Median = 45  Mode = 30  Range = 56  MAD = 8.1  Maximum = 74  Minimum = 18  Q1 = 30  Q3 = 41  IQR = 11

20. DAY 3: NEED TO KNOW EXAMPLE Summary: The graphs give us information about the ages of participants in a 5 kilometer race. Both the dot plot and the histogram show that the data is slightly skewed left, but the shape is easier to see on the histogram. The histogram also shows the higher number of people in their 30s participating, which can be seen on the dot plot but isn’t as easily evident. This tells us that there were more people in their 30s participating but also that there is a long range of ages, with the oldest person being 74 (the maximum) and the youngest being 18 (the minimum), a range of 56 years. This means that the data can vary a lot especially with a MAD of 8.1 years, even thought the IQR is much smaller and less variable at 11 years. Both the mean and the median are almost equal (mean is 36. Median is 35) but the median is probably more accurate measure of center because the maximum, 74 years, is an outlier and pulls the value of the mean up higher than it usually would be. Therefore, the dot plot would be a better representation of the data since it would show more accurate values for the 5 number summary.

21. DAY 3: BY THE END OF THE DAY You should have:  Summarized the data for your SURVEY question, both in numbers and in words.  Summarized the data for your RESEARCH question, both in numbers and in words.

22. DAY 3: HOMEWORK  Complete Summaries

23. DAY 4: OBJECTIVES  Compare and contrast similar data to their own work  Construct a claim and an argument about the two sets of data, using statistical evidence.

24. DAY 4: NEED TO KNOW When Comparing Data, ask:  What is similar about these data distributions?  Some things to consider include subject matter, shape, center (mean or median), spread, and variability.  Why do you think those similarities exist?  What is different?  Some things to consider include subject matter, shape, center (mean or median), spread, and variability.  Why do you think those differences exist?

25. DAY 4: NEED TO KNOW EXAMPLE

26. DAY 4: BY THE END OF THE DAY You should have:  A comparison of one of your sets of data to another similar set of data including the identification and explanation of the differences between the data sets.  A claim and a written argument, supported by evidence from your own data as well as the other set, based on your two sets of data.